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Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices

R. G. Ghulghazaryan·N. S. Ananikian·P. M. A. Sloot
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Abstract

The Yang-Lee zeros of the Q-state Potts model on recursive lattices are studied for non-integer values of Q. Considering 1D lattice as a Bethe lattice with coordination number equal to two, the location of Yang-Lee zeros of 1D ferromagnetic and antiferromagnetic Potts models is completely analyzed in terms of neutral periodical points. Three different regimes for Yang-Lee zeros are found for Q>1 and 0 1. Complex magnetic field metastability regions are studied for the Q>1 and 0<Q<1 cases. The Yang-Lee edge singularity exponents are calculated for both 1D and Bethe lattice Potts models. The dynamics of metastability regions for different values of Q is studied numerically.

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R. G. Ghulghazaryan, N. S. Ananikian, P. M. A. Sloot. 2002-05-14. Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices. https://doi.org/10.1103/physreve.66.046110

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